Answer:
Explanation:
Verbal statements must be translated into algebraic expressions, equations or inequalities.
<u>1. Money earned by Jamie washing cars for $25 each</u>
Let x represent the number of cars Jaime washes.
<u>2. Money earned by Stella making pecan pies for $15 each</u>
Let y represent the number of pies she makes
<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.
Write an inequality using the symbol ≤, since y can take any integer value up to 40.
4. First question:
Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip
5. Second question:
Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.
6. Third question
Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.
From step # 3
7. Conclusion
You can solve the inequalities fo find whether Stella can or not afford the trip:
Solve for the inequalities that represent Stella's situation:
The solution set is the intersection of the two solutions:
- Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.
Answer:
15
Step-by-step explanation: